Post-Newtonian Initial Data with Waves: Progress in Evolution

Abstract

In Kelly et al. [Phys. Rev. D, 76:024008, 2007], we presented new binary black-hole initial data adapted to puncture evolutions in numerical relativity. This data satisfies the constraint equations to 2.5 post-Newtonian order, and contains a transverse-traceless "wavy" metric contribution, violating the standard assumption of conformal flatness. We report on progress in evolving this data with a modern moving-puncture implementation of the BSSN equations in several numerical codes. We discuss the effect of the new metric terms on junk radiation and continuity of physical radiation extracted.

arXiv comment13 pages, 9 figures. Invited paper from Numerical Relativity and Data Analysis (NRDA) 2009, Albert Einstein Institute, Potsdam. Corrected to match published version.

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• The initial value problem as it relates to numerical relativity
• Puncture Initial Data for Black-Hole Binaries with High Spins and High Boosts
• Approximate black hole binary spacetime via asymptotic matching
• Exploring the Outer Limits of Numerical Relativity
• Alternatives to standard puncture initial data for binary black hole evolution
• Hybrid black-hole binary initial data
• Including realistic tidal deformations in binary black-hole initial data
• Parameter control for eccentric, precessing binary black hole simulations with SpEC
• Coping with Junk Radiation in Binary Black Hole Simulations
• Extending superposed harmonic initial data to higher spin
• Solving the Hamiltonian constraint for 1+log trumpets
• Fourth-post-Newtonian-exact approximation to General Relativity
• Evolution of circumbinary accretion disk around supermassive binary black hole: post-Newtonian hydrodynamics versus Newtonian hydrodynamics
• Inspiraling black-hole binary spacetimes: Challenges in transitioning from analytical to numerical techniques